March 26, 2024Open Access

Multiple solutions for quasilinear elliptic problems with concave and convex nonlinearities

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Abstract

We prove the existence of multiple signed bounded solutions for a quasilinear elliptic equation with concave and convex nonlinearities. For this, we use a variational approach in an intersection Banach space indroduced by Candela and Palmieri, and a truncation technique given by Garcia Azorero and Peral.

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Mennuni et al. (Tue,) studied this question.

synapsesocial.com/papers/68e7263ab6db64358769fb94 https://doi.org/https://doi.org/10.48550/arxiv.2403.17821

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